Let the experiment be the toss of three dice in a row. Let X be the outcome of the first die. Let Y be the outcome of the 2nd die. Let Z be the outcome of the 3rd die. Let A be the event that X ≥ Y , Let B be the event that Y ≥ Z, Let C be the event that Z ≥ X(a) Find P(A). (b) Find P(B). (c) Find P(A B). (d) Are A and B independent? (e) Are A, B, C pairwise independent? (f) Find P(A B C).

In the given figure ar(adf) =ar(cda) and ar(cdf) = ar(cdf). show that abdc and cdfe are trapeziums.

Cor d? ? me ? max recorded the heights of 500 male humans. he found that the heights were normally distributed around a mean of 177 centimeters. which statements about max’s data must be true? a) the median of max’s data is 250 b) more than half of the data points max recorded were 177 centimeters. c) a data point chosen at random is as likely to be above the mean as it is to be below the mean. d) every height within three standard deviations of the mean is equally likely to be chosen if a data point is selected at random.

Evaluate 8j -k+148j−k+14 when j=0.25j=0.25 and k=1k=1.